Information on Result #1014647
Linear OOA(8170, 5767175, F8, 3, 16) (dual of [(5767175, 3), 17301355, 17]-NRT-code), using (u, u+v)-construction based on
- linear OOA(848, 174773, F8, 3, 8) (dual of [(174773, 3), 524271, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(84, 9, F8, 3, 4) (dual of [(9, 3), 23, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;23,8) [i]
- linear OOA(844, 174764, F8, 3, 8) (dual of [(174764, 3), 524248, 9]-NRT-code), using
- OOA 3-folding [i] based on linear OA(844, 524292, F8, 8) (dual of [524292, 524248, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(844, 524294, F8, 8) (dual of [524294, 524250, 9]-code), using
- trace code [i] based on linear OA(6422, 262147, F64, 8) (dual of [262147, 262125, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- linear OA(6422, 262144, F64, 8) (dual of [262144, 262122, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(6419, 262144, F64, 7) (dual of [262144, 262125, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(640, 3, F64, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- trace code [i] based on linear OA(6422, 262147, F64, 8) (dual of [262147, 262125, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(844, 524294, F8, 8) (dual of [524294, 524250, 9]-code), using
- OOA 3-folding [i] based on linear OA(844, 524292, F8, 8) (dual of [524292, 524248, 9]-code), using
- linear OOA(84, 9, F8, 3, 4) (dual of [(9, 3), 23, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8122, 5592402, F8, 3, 16) (dual of [(5592402, 3), 16777084, 17]-NRT-code), using
- trace code [i] based on linear OOA(6461, 2796201, F64, 3, 16) (dual of [(2796201, 3), 8388542, 17]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6461, large, F64, 16) (dual of [large, large−61, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- OOA 3-folding [i] based on linear OA(6461, large, F64, 16) (dual of [large, large−61, 17]-code), using
- trace code [i] based on linear OOA(6461, 2796201, F64, 3, 16) (dual of [(2796201, 3), 8388542, 17]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.